Analytical formulation of the fractal dimension of filtered stochastic signals

@article{Girault2010AnalyticalFO,
  title={Analytical formulation of the fractal dimension of filtered stochastic signals},
  author={Jean-Marc Girault and Denis Kouame and Abdeldjalil Ouahabi},
  journal={Signal Processing},
  year={2010},
  volume={90},
  pages={2690-2697}
}
The aim of this study was to investigate the effects of a linear filter on the regularity of a given stochastic process in terms of the fractal dimension. This general approach, described in a continuous time domain, is new and is characterized by its simplicity. The framework of this problem is general since it emerges when a fractal process undertakes a transformation, as is the case in denoising or measurement processes. 

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References

Publications referenced by this paper.
Showing 1-10 of 34 references

Fractal structure of the interplanetary magnetic field

L. Burlaga, L. Klein
Journal of Geophysical Research, Vol 91, pp 347–350 • 1986
View 4 Excerpts
Highly Influenced

The problem of contiguity: an appendix of statistic of deadly quarrels

L. Richardson
General systems yearbook, Vol 61, pp 139–187 • 1961
View 3 Excerpts
Highly Influenced

Fracture surface examination of dental ceramics using fractal analysis.

Dental materials : official publication of the Academy of Dental Materials • 2005
View 3 Excerpts

Length and frequency of band-limited signals

IEEE Signal Processing Letters • 2002
View 1 Excerpt